©
©
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | danpit |
| Name | dispenteractiprismated triacontaditeron |
| Field of sections |
|
| Circumradius | 5/2 = 2.5 |
| Vertex figure |
|
| Coordinates | ((1+2 sqrt(2))/2, (1+sqrt(2))/2, (sqrt(2)-1)/2, (2 sqrt(2)-1)/2, 1/2) & all permutations, all changes of sign |
| Colonel of regiment | (is itself locally convex – no other uniform polyteral members) |
| Face vector | 3840, 9600, 7680, 2160, 132 |
| Confer |
|
|
External links |
|
As abstract polytope danpit is automorph, thereby interchanging the roles of octagons and octagrams, resp. of girco and quitco, of op and stop, resp. of thatpath and thaquitpath, and of gircope and quitcope.
Incidence matrix according to Dynkin symbol
x3x3x3x *b4x4/3*c . . . . . | 3840 | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ------------------+------+--------------------------+-----------------------------------------+--------------------------------------+--------------- x . . . . | 2 | 1920 * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 1920 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 1920 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 1920 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 1920 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ------------------+------+--------------------------+-----------------------------------------+--------------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 0 | 640 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 960 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 960 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 960 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 0 | * * * * 640 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 960 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . *b4x | 8 | 0 4 0 0 4 | * * * * * * 480 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 640 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x4/3*c | 8 | 0 0 4 0 4 | * * * * * * * * 480 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x x | 4 | 0 0 0 2 2 | * * * * * * * * * 960 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------------+------+--------------------------+-----------------------------------------+--------------------------------------+--------------- x3x3x . . ♦ 24 | 12 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 | 160 * * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 0 | 2 0 3 0 0 3 0 0 0 0 | * 320 * * * * * * * * | 1 0 1 0 0 x3x . . *b4x ♦ 48 | 24 24 0 0 24 | 8 0 0 12 0 0 6 0 0 0 | * * 80 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 320 * * * * * * | 1 0 0 1 0 x . x . x4/3*c ♦ 16 | 8 0 8 0 8 | 0 4 0 4 0 0 0 0 2 0 | * * * * 240 * * * * * | 0 1 0 1 0 x . . x x ♦ 8 | 4 0 0 4 4 | 0 0 2 2 0 0 0 0 0 2 | * * * * * 480 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 0 | 0 0 0 0 4 6 0 4 0 0 | * * * * * * 160 * * * | 1 0 0 0 1 . x3x . *b4x4/3*c ♦ 48 | 0 24 24 0 24 | 0 0 0 0 8 0 6 0 6 0 | * * * * * * * 80 * * | 0 1 0 0 1 . x . x *b4x ♦ 16 | 0 8 0 8 8 | 0 0 0 0 0 4 2 0 0 4 | * * * * * * * * 240 * | 0 0 1 0 1 . . x3x x4/3*c ♦ 48 | 0 0 24 24 24 | 0 0 0 0 0 0 0 8 6 12 | * * * * * * * * * 80 | 0 0 0 1 1 ------------------+------+--------------------------+-----------------------------------------+--------------------------------------+--------------- x3x3x3x . ♦ 120 | 60 60 60 60 0 | 20 30 30 0 20 30 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 | 32 * * * * x3x3x . *b4x4/3*c ♦ 384 | 192 192 192 0 192 | 64 96 0 96 64 0 48 0 48 0 | 16 0 8 0 24 0 0 8 0 0 | * 10 * * * x3x . x *b4x ♦ 96 | 48 48 0 48 48 | 16 0 24 24 0 24 12 0 0 24 | 0 8 2 0 0 12 0 0 6 0 | * * 40 * * x . x3x x4/3*c ♦ 96 | 48 0 48 48 48 | 0 24 24 24 0 0 0 16 12 24 | 0 0 0 8 6 12 0 0 0 2 | * * * 40 * . x3x3x *b4x4/3*c ♦ 384 | 0 192 192 192 192 | 0 0 0 0 64 96 48 64 48 96 | 0 0 0 0 0 0 16 8 24 8 | * * * * 10
© 2004-2024 | top of page |